Pith Number

pith:6TINJHPJ

pith:2018:6TINJHPJ66S25AJZPG7SVQJFXQ

not attested not anchored not stored refs pending

Regularity and Gr\"obner bases of the Rees algebra of edge ideals of bipartite graphs

Yairon Cid-Ruiz

arxiv:1801.06731 v2 · 2018-01-20 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TINJHPJ66S25AJZPG7SVQJFXQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:16:21.266741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d0d49de9f7a5ae813979bf2ac125bc2c78a684d7f08b957d87484969072eba

Aliases

arxiv: 1801.06731 · arxiv_version: 1801.06731v2 · doi: 10.48550/arxiv.1801.06731 · pith_short_12: 6TINJHPJ66S2 · pith_short_16: 6TINJHPJ66S25AJZ · pith_short_8: 6TINJHPJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6TINJHPJ66S25AJZPG7SVQJFXQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f4d0d49de9f7a5ae813979bf2ac125bc2c78a684d7f08b957d87484969072eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37d570e25807c66bee3f3db863f04b74600441bade2b79880909c43bb068b38",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-20T21:31:36Z",
    "title_canon_sha256": "34d16a66a79250f16443520173decc41f165ae6b333d4799d02bc92036fc8ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06731",
    "kind": "arxiv",
    "version": 2
  }
}